2, 84, 30, 993, 560, 15456, 11962, 261485, ...: Higher dimension operators in the SM EFT
Brian Henning, Xiaochuan Lu, Tom Melia, Hitoshi Murayama
In a companion paper, we show that operator bases for general effective field
theories are controlled by the conformal algebra. Equations of motion and
integration by parts identities can be systematically treated by organizing
operators into irreducible representations of the conformal group. In the
present work, we use this result to study the standard model effective field
theory (SM EFT), determining the content and number of higher dimension
operators up to dimension 12, for an arbitrary number of fermion generations.
We find additional operators to those that have appeared in the literature at
dimension 7 (specifically in the case of more than one fermion generation) and
at dimension 8.
(The title sequence is the total number of independent operators in the SM
EFT with one fermion generation, including hermitian conjugates, ordered in
mass dimension, starting at dimension 5.)